We are generalising definitions of gravitational energy in asymptotically flat spacetimes to spaces with more general asymptotic structures. N.Pinto Neto, I.D.Soares and R.Rodrigues da Silva extended succesfully these definitions to asymptotically anti-de Sitter spacetimes. N. Pinto Neto and P.I. Trajtenberg are now trying to generalise such results to compact objects that behave like Friedmann-Lemaitre-Robertson-Walker spacetimes asymptotically.